Back to Fremantle today, we went to the Shipwreck Museum (free entry, small, but very good) and the Maritime Museum ($15/ticket, larger than the Shipwreck Museum but not very good, and as far as I can tell none of the exhibits have had the statistics they mentioned in the descriptions updated since the early 2000s). The Maritime Museum had a couple of interesting bits about things during World War II, and there was an Oberon-class submarine in dry dock that was cool, but you had to pay extra to go on it as a part of a tour.
I also got a margarita focaccia and custard tart from a place called Common Bakery and OH MY GOD they were SO GOOD. The focaccia was absolutely perfect and the toppings were completely fresh.